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Finding the Fourth Proportional to 340,574.11, 470,006.85 and 189,671.11

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Solution

The fourth proportional to 340,574.11, 470,006.85 and 189,671.11 is: 261,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,574.11 : 470,006.85 = 189,671.11 : x
  2. Step 2: Convert to fraction form
    340,574.11/470,006.85 = 189,671.11/x
  3. Step 3: Cross multiply
    340,574.11x = 470,006.85 × 189,671.11
  4. Step 4: Simplify right side
    340,574.11x = 89,146,720,947.10
  5. Step 5: Solve for x
    x = 89,146,720,947.10/340,574.11
  6. Step 6: Final answer
    x = 261,754.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.